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Simplifying 20y2 + -5y = 0 Reorder the terms: -5y + 20y2 = 0 Solving -5y + 20y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y'. 5y(-1 + 4y) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-1 + 4y)' equal to zero and attempt to solve: Simplifying -1 + 4y = 0 Solving -1 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4y = 0 + 1 4y = 0 + 1 Combine like terms: 0 + 1 = 1 4y = 1 Divide each side by '4'. y = 0.25 Simplifying y = 0.25Solution
y = {0, 0.25}
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